Emor D. Nilap, a news reporter who was a little backward, was sent to cover a billiards tournament. Since he wanted to do a good job, he rounded up some human-interest facts to make his story a little more interesting. He gathered the following information (which we take as the axioms for this problem):

1. The men competing were Pat, Milt, Dick, Joe, and Karl.
2. Milt had once beaten the winner at tennis.
3. Pat and Karl frequently played cards together.
4. Joe’s finish ahead of Karl was totally unexpected.
5. The man who finished fourth left the tournament after his match and did not see the last two games.
6. The winner had not met the man who came in fifth prior to the day of the tournament.
7. The winner and the runner-up had never met until Joe introduced them just before the final game.

When Emor returned to his office, he found that he had forgotten the order in which the men had finished, but he was able to figure it out from the information provided. Can you figure it out?